ISOTROPIC WEYL MANIFOLD WITH A SEMI-SYMMETRIC CONNECTION

被引:2
|
作者
Canfes, Elif Oezkara [1 ]
机构
[1] Tech Univ Istanbul, Dept Math, Istanbul, Turkey
关键词
Weyl manifold; semi-symmetric connection; Einstein manifold; isotropic manifold; sectional curvature;
D O I
10.1016/S0252-9602(09)60018-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, it is proved that every isotropic Weyl manifold with a semi-symmetric connection is locally conformal to an Einstein manifold with a semi-symmetric connection.
引用
收藏
页码:176 / 180
页数:5
相关论文
共 50 条
  • [31] On a Semi-Symmetric Non-Metric Connection in an Indefinite Para Sasakian Manifold
    Pandey, S. K.
    Pandey, G.
    Tiwari, K.
    Singh, R. N.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 12 (02): : 159 - 172
  • [32] ON A SEMI-SYMMETRIC NON-METRIC CONNECTION IN AN LP-SASAKIAN MANIFOLD
    Perktas, Selcen Yuksel
    Kilic, Erol
    Keles, Sadik
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2010, 3 (02): : 15 - 25
  • [33] LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
    Jin, Dae Ho
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2012, 19 (03): : 211 - 228
  • [34] Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection
    Yasar, Erol
    Coken, A. Ceylan
    Yucesan, Ahmet
    MATHEMATICA SCANDINAVICA, 2008, 102 (02) : 253 - 264
  • [35] LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
    Yucesan, Ahmet
    Yasar, Erol
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (05) : 1089 - 1103
  • [36] Some curvature properties on Lorentzian β-Kenmotsu manifold with a semi-symmetric semi-metric connection
    Kishor, Shyam
    Verma, Pushpendra
    TBILISI MATHEMATICAL JOURNAL, 2020, 13 (03) : 85 - 94
  • [37] Semi-Riemannian manifold with semi-symmetric connections
    Zangiabadi, Elham
    Nazari, Zohreh
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 169
  • [38] NON-DEGENERATE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION
    Yucesan, Ahmet
    Ayyildiz, Nihat
    ARCHIVUM MATHEMATICUM, 2008, 44 (01): : 77 - 88
  • [39] ON A TYPE OF PROJECTIVE SEMI-SYMMETRIC CONNECTION
    Pal, S. K.
    Pandey, M. K.
    Singh, R. N.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2015, 7 (02): : 153 - 161
  • [40] Concircularly semi-symmetric metric connection
    Maksimovic, Miroslav D.
    Petrovic, Milos Z.
    Vesic, Nenad O.
    Zlatanovic, Milan Lj.
    QUAESTIONES MATHEMATICAE, 2024, 47 (03) : 557 - 576